10116801598864 has 45 divisors (see below), whose sum is σ = 19799811814179. Its totient is φ = 5007681484800.

The previous prime is 10116801598859. The next prime is 10116801598867. The reversal of 10116801598864 is 46889510861101.

The square root of 10116801598864 is 3180692.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5724435600 + 10111077163264 = 75660^2 + 3179792^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10116801598799 and 10116801598808.

It is not an unprimeable number, because it can be changed into a prime (10116801598867) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1284995632 + ... + 1285003504.

Almost surely, 2^{10116801598864} is an apocalyptic number.

10116801598864 is the 3180692-nd square number.

It is an amenable number.

10116801598864 is a deficient number, since it is larger than the sum of its proper divisors (9683010215315).

10116801598864 is an frugal number, since it uses more digits than its factorization.

10116801598864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15956 (or 7976 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 58.

The spelling of 10116801598864 in words is "ten trillion, one hundred sixteen billion, eight hundred one million, five hundred ninety-eight thousand, eight hundred sixty-four".